Question

The ratio of the length of a school ground to its width is 5:2. Find the length of the ground if width of the ground is 50m

Show working pls :)

Answer 1

Given:

• Ratio of the length to its width is 5:2
• Width of the ground is 50 m.

To find:

• Length of the ground?

Solution:

☯ Let's consider, Length of the school ground be 5x.

And, Width of the school ground be 2x.

⠀⠀⠀⠀$\underline{\bigstar\:\boldsymbol{According\:to\:the\:question\::}}$

Width of the ground is 50 m.

$:\implies\sf 50 = 2x \\\\\\:\implies\sf x = \dfrac{\cancel{50}}{\cancel{\: 2}} \\\\\\:\implies\boxed{\frak{\pink{x = 25}}}$

Now, Length of the ground = 5x.

$:\implies\sf 5 \times 25 \\\\\\:\implies\boxed{\frak{\pink{125 \ m}}}$

∴ Hence, length of the school ground is 125 m.

Answer 2

Answer:

Given :-

• The ratio of the length of a school ground to its width is 5:2 and the width of the ground is 50 m.

To Find :-

• What is the length of the ground.

Solution :-

Given :

• Ratio of length to width of ground = 5 : 2.
• Width of the school ground = 50 m.

» Let, the length of school ground be 5x

» And, the width of the school ground will be 2x

According to the question,

↦ 2x = 50

↦ x = $\sf{\cancel{\dfrac{50}{2}}}$

➠ x = 25

Hence, the length of the school ground will be,

⇒ 5x

⇒ 5(25)

➦ 125 m

$\therefore$ The length of the school ground is $\boxed{\bold{\small{125\: m. }}}$

★ Let's Verify :

↦ 2x = 50

Put x = 25 we get,

↦ 2(25) = 50

↦ 50 = 50

➠ LHS = RHS

Hence, Verified ✔